Question

Determine the type of boundary line and shading for the graph of the inequality -5x - y -2

Dashed line with shading on the side that includes the origin.

Solid line with shading on the side that does not include the origin.

Dashed line with shading on the side that does not include the origin.

Solid line with shading on the side that includes the origin.

Answer 1

What's the inequality?

Answer 2

-5x - y <= -2
Sorry about that.

Answer 3

No problemo.

Answer 4

Is it the 2nd one?

Answer 5

Set x=0 to solve for y and set y=0 to solve for x and then plot...

Answer 6

So the last one?

Answer 7

you draw a solid boundary line when it is greater than or equal to or less than or equal to and a dashed boundary line when it is greater than or less than

Answer 8

Yeah?

Answer 9

So the last one?

Answer 10

Plug in the point (0,0) to see if your inequality is true or false.

Answer 11

huh?

Answer 12

0<=2?

Answer 13

False.

Answer 14

So then you choose your 2nd answer
http://www.wolframalpha.com/input/?i=-5x-y+less+than+or+equal+to+-2

Answer 15

huh???

Answer 16

ohh I see.

Answer 17

Yup :).

Answer 18

Can you help me with one more?

Answer 19

Since the point (0,0) makes the inequality untrue you shade the half that does not contain it. And yes.